The degree of mapping, and its generalizations

1983 ◽  
pp. 15-40 ◽  
Author(s):  
Felix E. Browder
Keyword(s):  
Degree Of Mapping

A note on the theory of degree of mapping in Euclidean spaces

1993 ◽  
pp. 340-348
Author(s):  
Masaya Yamaguti ◽  
Louis Nirenberg ◽  
Sigeru Mizohata ◽  
Yasutaka Sibuya
Keyword(s):  
Euclidean Spaces ◽  
Degree Of Mapping

Degree of mapping in convex linear topological spaces

1993 ◽  
pp. 325-339
Author(s):  
Masaya Yamaguti ◽  
Louis Nirenberg ◽  
Sigeru Mizohata ◽  
Yasutaka Sibuya
Keyword(s):  
Topological Spaces ◽  
Degree Of Mapping

Degree of mapping of manifolds based on that of Euclidean open sets

1993 ◽  
pp. 289-302
Author(s):  
Masaya Yamaguti ◽  
Louis Nirenberg ◽  
Sigeru Mizohata ◽  
Yasutaka Sibuya
Keyword(s):  
Degree Of Mapping

scholarly journals STUDY OF DEGREE OF CONTINUOUS MAPPING, CONFORMING TO MOVEMENT OF EARTH CRUST

2019 ◽  
pp. 108-111
Author(s):  
E. V. Glivenko ◽  
A. S. Fomochkina ◽  
D. A. Trifonova
Keyword(s):  
Vector Field ◽  
Fixed Points ◽  
Continuous Mapping ◽  
Earth’S Crust ◽  
Coordinate Systems ◽  
Modern Methods ◽  
Earth's Crust ◽  
Changes Over Time ◽  
Degree Of Mapping ◽  
Over Time

The paper discusses the vector field, which is the movement of the earth’s crust. This motion is recorded using various modern  methods and is considered as a transformation for which the degree of mapping can be calculated. At the beginning of the  paper showes the various coordinate systems and methods of recording. Then there is a description of the tables in which the  coordinates and their changes over time are entered. From these data, for some regions, the table of angles can be constructed  and the degree of mapping calculated. The results of calculations allow us to draw conclusions about the presence of fixed points  of the vector field inside the considered region. Such points indicate the accumulation of stress in rocks in a given area, which  can further lead to rupture –  an earthquake.

THE IDEA OF APPLICATION THE DEGREE OF A CONTINUOUS MAPPING FOR EARTHQUACKE PREDICTION

2018 ◽  
pp. 54-58
Author(s):  
E. V. Glivenko ◽  
A. S. Fomochkina ◽  
T. V. Prokhorova
Keyword(s):  
Fixed Point ◽  
Vector Fields ◽  
Continuous Mapping ◽  
The Earth ◽  
Continuous Mappings ◽  
Information Center ◽  
Definition Of ◽  
Degree Of Mapping ◽  
National Earthquake Information Center ◽  
Destructive Event

The paper describes the possibility of constructing continuous mappings and calculating the degree of mapping with reference to the prediction earthquakes. At the beginning of the article, a definition of the degree of mapping is given. Then several approaches to the construction of possible vector fields are described. It is assumed that the fixed point of these vector fields will be destructive earthquake. In the first approach, the vector fields under consideration describe the geological behavior of the Earth, namely its motion and the plane of discontinuity in the epicenters of earthquakes. In the second approach fields connect foreshocks that are earthquakes that precede the destructive event. At the end of the article, examples of the successful and unsuccessful application of second approach are given. The study based on data from catalog of the NEIC (National Earthquake Information Center).

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